Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?

Answers

Answer 1

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750


Related Questions

Please help me please I really need help please help me

Answers

You just have to reflect it over the blue line, so if one point is 2 squares from the blue line then you will make it 2 squares away on the other side of the blue line. The y point will stay the same so they will be the same height

Answer:

See attached

Step-by-step explanation:

See reflected image in the attached picture

What is the area of the trapezoid?
A) 176 cm^2
B)192 cm^2
C)208 cm^2
D)224 cm^2

Answers

Answer:

a

Step-by-step explanation:

.

I will post the other reasons rn

Answers

Answer:

yeah i gotta see the others

Step-by-step explanation:

Jade has tax deducted from her income at the rate of 24%.
Last month, after tax had been deducted, $1786 of her income remained.
Calculate her income last month before the tax was deducted.​

Answers

Answer:

$2350

Step-by-step explanation:

Let Jade's total income be X

Therefore,the tax deducted was 24%x

Forming an equation:

X= 24%x + 1786

X = 0.24x + 1786

Collecting like terms

x - 0.24x = 1786

0.76x =1786

x= 1786 ÷0.76

X= $2350

solve for the x value of the x intercept of the line 5x-y=-5

Answers

x intercept: (1,0)
y intercept: (0,-5)
hope this helped

Mary made 12 bracelets. 9 of those bracelets are the color blue.
What percent of bracelets are blue?

Answers

75% of the bracelets are blue

Answer:

75%

Step-by-step explanation:

We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.

To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.

[tex]\frac{9}{12}[/tex]

Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :

[tex]\frac{9/3}{12/3}[/tex]

[tex]\frac{3}{4}[/tex]

Divide 3 by 4 :

[tex]3/4 = 0.75[/tex]

Multiply 0.75 by 100 to get our percentage :

[tex]0.75 * 100 = 75[/tex]%

You have a box with 5 blue marbles, 4 red marbles, and 9 yellow marbles. You are going to pull out one marble, record its color, put it back in the box and draw another marble. What is the probability of pulling out a blue marble followed by a yellow marble?

Answers

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

What is probability ?

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]

Calculate the sum or difference=  [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]

Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]

                                                     = [tex]\frac{81}{18 * (14 + 4)}[/tex]

                                                     =[tex]\frac{81}{18 * 18}[/tex]

Calculate the product or quotient = [tex]\frac{81}{324}[/tex]

Cross out the common factor = [tex]\frac{1}{4}[/tex]

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Learn more about probability  brainly.com/question/743546

#SPJ2

A cylinder with height of 4 meters has a volume of 2,827.43 cubic meters. Find the length of the diameter.

Answers

Answer: 30 meters

Step-by-step explanation:

Volume of a cylinder = πr^2h

2,827.43 = πr^2(4)

2,827.43 = 3.14(4)r^2

2,827.43 = 12.56*r^2

2,827.43/12.56 = (12.56*r^2)/12.56

225.11 = r^2, find square root of both sides

r = 15

diameter = 30

The hypotenuse of a right triangle is 75 m. One of the legs measures 45 m. What is the length of the missing leg?

Answers

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60

Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that apply

Answers

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

When the hour hand is on (1), then the time is "after"

When the hour hand is on (2), then the time is "before"

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 2 threes?

Answers

Answer:

The probability of rolling the die once to get a four is 1/6

Step-by-step explanation:

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Brainliest?

8x−2=−11+7x +2
Please help me!!

Answers

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome

(5 x 10^6) x (6 x 10^8)
give answer in standard form.
(answer = 13 points)

Answers

Answer:

3 x 10^15

Step-by-step explanation:

5 x 10^6 x 6 x 10^8

30 x 10^14

3 x 10 x 10^14

3 x 10^15

(5 × 6) × (10 ^ 8 + 6) = 30 × 10 ^ 14

Katy planted of the field with wheat and of
the field with potatoes. How much of the field
did she plant?

Answers

[tex]katy \: planted \: \frac{65}{72} of \: the \: field[/tex]

may this helps you

bye

I know this is in german but i really really need help...

Answers

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

How many significant figures are in 609.80

Answers

There are 5 significant figures.

Two angles which are on opposite sides of the transversal and between the parallel lines and do not share the same vertex. They are congruent.

Answers

Answer:

Interior angles are congruent.

Step-by-step explanation:

We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.

Angles 3,6 are opposite and do not share the same vertex.

Similarly angles 4 and 5 do not share the same vertex.

They are congruent.

If we look closely we see that angles 3 &4  and angles 5&6 are supplementary angles.

i.e they together make up the 180 degrees on the straight line.

On  the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles

which also make supplementary angles on the parallel lines.

From the diagram we see that

∠ 5= ∠7  

and

∠6 = ∠ 8

as the corresponding angles are equal

∠8=∠3

∠7=∠4

As they are opposite angles

Similarly

∠1=∠6

∠2=∠5  ( opposite angles)

From above

∠5=∠7

but ∠7= ∠4

therefore

∠ 5= ∠4-----------------A

Also

∠6 = ∠ 8

but ∠8=∠3

therefore

∠6=∠8----------------------B

From An and B we conclude  interior angles are congruent

10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right

Answers

Answer:

1) $15 more

2) Formula: 1/2 (2+5) 10

Area: 35

Step-by-step explanation:

1) 30-15=15

2) 1/2 (2+5) 10 = 35

Find the equation of the circle with a center at (2,-1) and a radius of square root of 12

Answers

Answer:

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = [tex]\sqrt{12}[/tex]

As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.

By this formula , we can get,

[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]

[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

This is the answer.

Find the value of x in this equation?
-1 = x - 2

Answers

Answer:

-1=x-2

-1+2=x

x=1

Step-by-step explanation:

answer is : X=1
Rewrite the equation as
x

2
=

1
x
-
2
=
-
1
.
x

2
=

1

6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x) ​

Answers

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2

A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4

Answers

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.

Answers

Y intercept is when x = 0
Look on the graph
Y intercept: (0, -1)

Slope: you can use rise/run by drawing a triangle. Rise = 4, rise = 2
4/2 = 2
The slope is 2

Equation formula : y = mx = b
m = slope, b = y intercept
Given the rest of the information already, plug the values in

Equation: y = 2x - 1

GUYS SINCE YOU ARE SMART AND IM NOT HELP PLEASE

Answers

X = 2010/16is the same as12.5/20Please let me know if I am wrong.

Answer the question in the picture?

Answers

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

pls help! :) only put correct answer ty!!

Answers

Answer:

y=6x+18 i think

Step-by-step explanation:

Multiply and simplify. y^3 . y^5 . y^-2 .y
A. y^-4
B. 1/y^4
C. y^-5
D. 1/ y^3

Answers

Answer:

y^7

Step-by-step explanation:

y^3 . y^5 . y^-2 . y

= y^3 . y^5 . y^-2 . y^1

= y^( 3 + 5 - 2 + 1 )

= y^( 3 + 5 + 1 - 2 )

= y^( 9 - 2 )

= y^7

HELP I WILL GIVE BRAINIEST

Answers

Answer:

sorry I can only answer no.3

[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]

Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?

Answers

Answer:

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

Answer:

1. y = 6x + 8

2. 4 hours.

Step-by-step explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.

Pls help I’ll give brainliest

Answers

Answer:

5

Step-by-step explanation:

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